Abstract
Recent data on the differential angular distribution for the transfer reaction 11Li(p,d)10Li at E/A=5.7 MeV in inverse kinematics are analyzed within the DWBA reaction framework, using the overlap functions calculated within a three-body model of 11Li. The weight of the different 10Li configurations in the system's ground state is obtained from the structure calculations unambiguously. The effect of the 9Li spin in the calculated observables is also investigated. We find that, although all the considered models succeed in reproducing the shape of the data, the magnitude is very sensitive to the content of p1/2 wave in the 11Li ground-state wave function. Among the considered models, the best agreement with the data is obtained when the 11Li ground state contains a ∼31% of p1/2 wave in the n–9Li subsystem. Although this model takes into account explicitly the splitting of the 1+ and 2+ resonances due to the coupling of the p1/2 wave to the 3/2− spin of the core, a similar degree of agreement can be achieved with a model in which the 9Li spin is ignored, provided that it contains a similar p-wave content.
Highlights
Halo nuclei have triggered intensive work in the nuclear physics community since their discovery back in the eighties [1,2]
The ground state wave function of the initial three-body composite A is described within a full three-body model [26,27,28]. This wave function is calculated as an expansion in hyperspherical harmonics using a pseudostate basis for the radial part [29], which has been successfully applied to describe the structure and reaction observables for exotic nuclei [30,31]. This three-body wave function is most naturally obtained in the Jacobi-T set, but for the purposes of computing the required overlap functions, it is transformed into the Jacoby-Y set, where the x coordinate relates the core and one neutron, and we choose a coupling order compatible with that of the two-body continuum wave function given by Eq (4)
The results for P1I and P3 give the best agreement with the experimental data, while the shape of all four calculations is rather similar in spite of the different structure properties of the 11Li ground state
Summary
Halo nuclei have triggered intensive work in the nuclear physics community since their discovery back in the eighties [1,2]. Our present understanding of the peculiar properties of these exotic systems largely stems from the analysis of reactions in which these nuclei are part of the colliding systems or appear within some of the reaction products In the former case, the experiments must be performed in inverse kinematics, and have only become possible since the development of rare isotope beam facilities in the late eighties. We reexamine the same data using the DWBA method, but replacing the simple Woods–Saxon model by a more sophisticated and, in principle, realistic description of the 11Li and 10Li systems The former is treated within a threebody model, with effective n–n and n + core interactions, whereas the 10Li is described using n + 9Li scattering states generated with the same n–core interaction as that used for 11Li. Our goal is to clarify the influence of the structure model on the extracted properties and, in particular, to see whether the conclusions of [21] are affected by the use of a more realistic structure model
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